Least Common Multiple of 13353 and 13360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 13353 and 13360 the smallest integer that is 178396080 that is divisible by both numbers.

Least Common Multiple (LCM) of 13353 and 13360 is 178396080.

LCM(13353,13360) = 178396080

LCM of 13353 and 13360

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 13353 and 13360

LCM of 13353 and 13360 is 178396080

Least common multiple can be found by multiplying the highest exponent prime factors of 13353 and 13360. First we will calculate the prime factors of 13353 and 13360.

Prime Factorization of 13353


3 13353
4451 4451
1

Prime factors of 13353 are 3,4451. Prime factorization of 13353 in exponential form is:

13353 = 31×44511

Prime Factorization of 13360


2 13360
2 6680
2 3340
2 1670
5 835
167 167
1

Prime factors of 13360 are 2, 5,167. Prime factorization of 13360 in exponential form is:

13360 = 24×51×1671

Now multiplying the highest exponent prime factors to calculate the LCM of 13353 and 13360.

LCM(13353,13360) = 24×31×51×1671×44511
LCM(13353,13360) = 178396080

Factors of 13353

List of positive integer factors of 13353 that divides 13353 without a remainder.

1, 3, 4451, 13353

Factors of 13360

List of positive integer factors of 13360 that divides 13360 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 167, 334, 668, 835, 1336, 1670, 2672, 3340, 6680, 13360

Least Common Multiple of 13353 and 13360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13353 and 13360, than apply into the LCM equation.

GCF(13353,13360) = 1
LCM(13353,13360) = ( 13353 × 13360) / 1
LCM(13353,13360) = 178396080 / 1
LCM(13353,13360) = 178396080

Properties of LCM 13353 and 13360

(i) The LCM of 13360 and 13353 is associative

LCM of 13353 and 13360 = LCM of 13360 and 13353

Related Least Common Multiples of 13353

Related Least Common Multiples of 13360

Frequently Asked Questions on LCM of 13353 and 13360

1. What is the LCM of 13353 and 13360?

Answer: LCM of 13353 and 13360 is 178396080.

2. What are the Factors of 13353?

Answer: Factors of 13353 are 1, 3, 4451, 13353. There are 4 integers that are factors of 13353. The greatest factor of 13353 is 13353.

3. What are the Factors of 13360?

Answer: Factors of 13360 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 167, 334, 668, 835, 1336, 1670, 2672, 3340, 6680, 13360. There are 20 integers that are factors of 13360. The greatest factor of 13360 is 13360.

4. How to Find the LCM of 13353 and 13360?

Answer:

Least Common Multiple of 13353 and 13360 = 178396080

Step 1: Find the prime factorization of 13353

13353 = 3 x 4451

Step 2: Find the prime factorization of 13360

13360 = 2 x 2 x 2 x 2 x 5 x 167

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 178396080 = 2 x 2 x 2 x 2 x 3 x 5 x 167 x 4451

Step 4: Therefore, the least common multiple of 13353 and 13360 is 178396080.